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Simplifying 2 + -0.4(x + -3) = 0.1(9x + -3) Reorder the terms: 2 + -0.4(-3 + x) = 0.1(9x + -3) 2 + (-3 * -0.4 + x * -0.4) = 0.1(9x + -3) 2 + (1.2 + -0.4x) = 0.1(9x + -3) Combine like terms: 2 + 1.2 = 3.2 3.2 + -0.4x = 0.1(9x + -3) Reorder the terms: 3.2 + -0.4x = 0.1(-3 + 9x) 3.2 + -0.4x = (-3 * 0.1 + 9x * 0.1) 3.2 + -0.4x = (-0.3 + 0.9x) Solving 3.2 + -0.4x = -0.3 + 0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. 3.2 + -0.4x + -0.9x = -0.3 + 0.9x + -0.9x Combine like terms: -0.4x + -0.9x = -1.3x 3.2 + -1.3x = -0.3 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 3.2 + -1.3x = -0.3 + 0.0 3.2 + -1.3x = -0.3 Add '-3.2' to each side of the equation. 3.2 + -3.2 + -1.3x = -0.3 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + -1.3x = -0.3 + -3.2 -1.3x = -0.3 + -3.2 Combine like terms: -0.3 + -3.2 = -3.5 -1.3x = -3.5 Divide each side by '-1.3'. x = 2.692307692 Simplifying x = 2.692307692
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